{
  "id": "2002.11091",
  "version": "v1",
  "published": "2020-02-25T18:42:17.000Z",
  "updated": "2020-02-25T18:42:17.000Z",
  "title": "Precise determination of the inflationary epoch and constraints for reheating",
  "authors": [
    "Gabriel German"
  ],
  "comment": "4 pages, no figures",
  "categories": [
    "astro-ph.CO",
    "gr-qc"
  ],
  "abstract": "We present a simple formula which allows to calculate the value of the inflaton field, denoted by $\\phi$, at the scale $k$. From here all inflationary observables follow. We illustrate the procedure with Starobinsky model of inflation. This gives an spectral index $n_s=0.96534$ with running $\\alpha=-6.1 \\times 10^{-4}$, tensor-to-scalar ratio $r=0.0034$ within reach of future experiments and an inflationary energy scale of $7.8 \\times 10^{15}GeV$. We also discuss the reheating epoch finding a constraint equation for the effective number of degrees of freedom $g_{re}$. This constraint translates into constraints for the reheating temperature at the end of the reheating era $T_{re}$ and for the number of e-folds during reheating and also during matter domination. For the Starobinsky model we find that $g_{re} \\lesssim 83$ giving a bound $T_{re}\\lesssim 80\\,GeV$ with $40.2 > N_{re} > 31.2$ and $17.4 < N_{rd} < 26.4$ for the number of e-folds during reheating and during radiation domination, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-25T18:42:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "precise determination",
      "inflationary epoch",
      "starobinsky model",
      "inflationary energy scale",
      "constraint translates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}